document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734414>Question 734414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a third degree polynomial that has x=1 as its only real zero and this zero has:<BR>\n" );
document.write( "A. Multiplicity one(1)<BR>\n" );
document.write( "B. Multiplicity three(3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448987 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=448987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Third Degree Polynomial:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-a%29%28x-b%29%28x-c%29 ALIGN=MIDDLE  ALT=\"%28x-a%29%28x-b%29%28x-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A real zero is x=1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-b%29%28x-c%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-b%29%28x-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x=1 is the only real zero, and multiplicity is 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-z%5B1%5D%29%28x-z%5B2%5D%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-z%5B1%5D%29%28x-z%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "where we want two complex numbers as conjugate pairs.  This part is open-ended.  For convenience we could pick 1-i and 1+i.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-%281-i%29%29%28x-%281%2Bi%29%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-%281-i%29%29%28x-%281%2Bi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x%5E2-%281-i%29x-%281%2Bi%29x%2B%281-i%29%281%2Bi%29%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x%5E2-%281-i%29x-%281%2Bi%29x%2B%281-i%29%281%2Bi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x%5E2-x%2Bix-x-ix%2B1%2B1%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x%5E2-x%2Bix-x-ix%2B1%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-1%29%28x%5E2-2x%2B2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-1%29%28x%5E2-2x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );